Question

It takes Miranda 30 minutes to paint 6 chairs. If Miranda paints at a constant rate, what is the constant of proportionality that relates y, the number of chairs painted in x minutes?

Answer 1

1/5

Explanation:

You want k so that ...

y = kx

You are told that y=6 when x=30, so ...

6 = k·30

6/30 = k = 1/5

The constant of proportionality is 1/5.

y = (1/5)x

Answer 2

5

Explanation:

Divide 30 by 6, since this will find the number of chairs she can paint in 1 minute:

30/6

= 5

So, the constant of proportionality is 5, since she can paint 5 chairs in a minute.